Is the 2016 MacBook Pro dual voltage?

The MacBook Pro runs on every voltage available in the world, specifically it runs on 100 to 240 volts at 50 or 60 hertz as well as 15 or so volts (DC) from its battery. A plug adaptor is the only thing you will need.

Even the old ones were worldwide capable.

Hint: For future reference, the voltage capabilities/requirements are printed right on the power supplies.

You should be fine. Chile is supposed to be 220V, 50 Hz AC - well within the requirements of any Apple power adapter made in the past 15 years.

It's not just "dual voltage", but universal voltage within the specifications of the power adapter. If you could get something to produce a 180V 60 Hz AC output, it would still work, or perhaps even poorly regulated voltage. The power adapter uses a lightweight switched-mode power supply (that can adjust on the fly) rather than older-style coil transformers that relied on a known voltage.

adding to what others have said, "no transformer required".

Do you have a passive adapter or the complete replacement "duckhead"? If it's a passive adapter, the power adapter can be rather heavy and may not be terribly secure hanging from a wall socket. I've tried it before and it can sag pretty badly.

Apple sells a worldwide adapter kit with basically every duckhead you'd need anywhere in the world.

Apple World Travel Adapter Kit - Apple

If you need the actual duckhead with plug, I'm not quite sure where you could just get a "Type C" one other than aftermarket (which I don't trust) or maybe eBay. I'd think you'd be able to find one once you get to Chile.